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Finding the Third Proportional to 808,476.38 and 1,760,385.75

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Solution

The third proportional to 808,476.38 and 1,760,385.75 is: 3,833,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,476.38 : 1,760,385.75 = 1,760,385.75 : x
  2. Step 2: Convert to fraction form
    808,476.38/1,760,385.75 = 1,760,385.75/x
  3. Step 3: Cross multiply
    808,476.38x = 1,760,385.75 × 1,760,385.75
  4. Step 4: Simplify right side
    808,476.38x = 3,098,957,988,803.06
  5. Step 5: Solve for x
    x = 3,098,957,988,803.06/808,476.38
  6. Step 6: Final answer
    x = 3,833,084.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.